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Primary and secondary teachers have voted for a historic first combined all-schools strike on May 29.

The strike, on the eve of the Government's much-vaunted May 30 "Wellbeing Budget", will aim to persuade ministers to spend more on boosting teachers' pay and conditions than the $1.2 billion over four years that they have already offered.

But the Ministry of Education will seek an immediate return to facilitated bargaining to try to stave off the strike.

Both primary and secondary teachers have been offered pay rises of 3 per cent a year for three years plus an extra top grade that would give many teachers effective pay rises of 12 per cent over three years.

But the primary teachers' NZ Educational Institute (NZEI) and the Post-Primary Teachers' Association (PPTA) are holding out for more action on more staffing and more classroom release time to reduce heavy workloads.

Primary teachers have already gone on strike twice in this bargaining round - in August and November.

The secondary teachers' collective agreement expired later, and the two unions have been planning for months to wait until they could both strike together to put maximum pressure on the Government, via parents who may have to take time off work to look after their children.

A poll of 1000 New Zealanders released by the unions this month found that 83 per cent of the public agree that "teachers need a pay rise", 79 per cent agree that "teachers need more time for planning, preparation and assessment", 76 per cent agree that primary school classes should be reduced and 73 per cent agree that secondary class sizes should be reduced.

However Education Minister Chris Hipkins has said repeatedly since November that the Government would not offer more than the $1.2 billion it has offered so far, and was only willing to talk about how that sum could be spent.

Lynda Stuart (second from left), flanked by other NZEI leaders, announced last month that the union would ballot its members over a joint strike with the PPTA. Photo / Mark Mitchell

NZEI president Lynda Stuart said teachers were raising their voices together to say they need the Government to prioritise addressing the education crisis.

PPTA president Jack Boyle said, "We are united in our aspirations. We want every child to leave school with the skills, knowledge and confidence they need to reach their potential."

"Teachers do not take strike action lightly. We would rather be with our kids in our classrooms. We want a positive outcome," he said.

"It is hugely disappointing that we have reached this point. We want to work with the Government to agree solutions that make teaching the attractive career it should be."

Ministry of Education head Iona Holsted said the ministry would apply to the Employment Relations Authority for an urgent return to facilitated bargaining with NZEI and would seek to start this process for secondary teachers.

"We have invited both NZEI Te Riu Roa and NZPPTA to join in these applications," she said.

"We are seeking facilitated bargaining, because it is the strongest form of assistance available to the parties involved to reach a negotiated settlement.

"Throughout our ongoing pay discussions we have been willing to discuss options for the combined $1.2 billion settlement. We have also invited both unions to talk about how we can address their time and other concerns outside of the pay talks."

National Party education spokeswoman Nikki Kaye said many teachers did not believe that the Government had no more money when they saw it spending $2 billion on scrapping tertiary fees, hundreds of millions on changing school governance and tens of millions on multiple policy reviews.

"If we can't get teachers in classrooms people will question Labour's priorities," she said.

"We have said before that Labour has favoured tertiary students by using more than $2 billion on a failed fees-free policy. With people predicting Tomorrow's Schools reforms could cost hundreds of millions, tens of millions being spent on education reviews people are saying to me the urgent need is pay and workload."